Analytical study on the modulation instability of the relativistic plasma

Abstract EN

In the current study the researchers attempt to investigate the growth of the modulation instability and soliton propagation in the high- temperature non-collisional homogeneous plasma.

Analytical relations of nonlinear Schrodinger equation coefficients are proposed for phase velocity ranges which are greater than or equal to light velocity.

The current findings confirm those of the study conducted by Wahdain and Daraigan [2014] when the phase velocity ranges , 1) exceed the velocity of light and not even close to, and 2) are equal to the velocity of light [11].

This study has found out that the modulation instability occurs at all values of phase velocity that are greater than or equal to light velocity, and the growth rate of the modulation instability reaches it is maximum value when the phase velocity ranges are sufficiently close to the velocity of light